Entropy Calculation of Reversible Mixing of Ideal Gases Shows Absence of Gibbs Paradox

Abstract: We consider the work of reversible mixing of ideal gases using a real process. Now assumptions were made concerning infinite shifts, infinite number of cycles and infinite work to provide an accurate calculation of entropy resulting from reversible mixing of ideal gases. We derived an equa...

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Main Authors: Oleg Borodiouk, Vasili Tatarin
Format: Article
Language:English
Published: MDPI AG 1999-05-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/1/2/25/
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author Oleg Borodiouk
Vasili Tatarin
author_facet Oleg Borodiouk
Vasili Tatarin
author_sort Oleg Borodiouk
collection DOAJ
description Abstract: We consider the work of reversible mixing of ideal gases using a real process. Now assumptions were made concerning infinite shifts, infinite number of cycles and infinite work to provide an accurate calculation of entropy resulting from reversible mixing of ideal gases. We derived an equation showing the dependence of this entropy on the difference in potential of mixed gases, which is evidence for the absence of Gibbs' paradox.
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spelling doaj.art-509a65fe73ea47018337efdc5b95a07c2022-12-22T02:07:34ZengMDPI AGEntropy1099-43001999-05-0112253610.3390/e1020025Entropy Calculation of Reversible Mixing of Ideal Gases Shows Absence of Gibbs ParadoxOleg BorodioukVasili TatarinAbstract: We consider the work of reversible mixing of ideal gases using a real process. Now assumptions were made concerning infinite shifts, infinite number of cycles and infinite work to provide an accurate calculation of entropy resulting from reversible mixing of ideal gases. We derived an equation showing the dependence of this entropy on the difference in potential of mixed gases, which is evidence for the absence of Gibbs' paradox.http://www.mdpi.com/1099-4300/1/2/25/Gibbs paradoxentropy of mixingdistinguishabilityhalf-penetrable membrane
spellingShingle Oleg Borodiouk
Vasili Tatarin
Entropy Calculation of Reversible Mixing of Ideal Gases Shows Absence of Gibbs Paradox
Entropy
Gibbs paradox
entropy of mixing
distinguishability
half-penetrable membrane
title Entropy Calculation of Reversible Mixing of Ideal Gases Shows Absence of Gibbs Paradox
title_full Entropy Calculation of Reversible Mixing of Ideal Gases Shows Absence of Gibbs Paradox
title_fullStr Entropy Calculation of Reversible Mixing of Ideal Gases Shows Absence of Gibbs Paradox
title_full_unstemmed Entropy Calculation of Reversible Mixing of Ideal Gases Shows Absence of Gibbs Paradox
title_short Entropy Calculation of Reversible Mixing of Ideal Gases Shows Absence of Gibbs Paradox
title_sort entropy calculation of reversible mixing of ideal gases shows absence of gibbs paradox
topic Gibbs paradox
entropy of mixing
distinguishability
half-penetrable membrane
url http://www.mdpi.com/1099-4300/1/2/25/
work_keys_str_mv AT olegborodiouk entropycalculationofreversiblemixingofidealgasesshowsabsenceofgibbsparadox
AT vasilitatarin entropycalculationofreversiblemixingofidealgasesshowsabsenceofgibbsparadox